Publications

Ellers, H. (2026). A bound on the Hartshorne-Speiser-Lyubeznik number of semigroup rings. Proceedings of the American Mathematical Society, 154(12), 2749–2763.

Variants of Normality and Steadfastness Deform (with A. Bauman, G. Hu, T. Murayama, S. Nair and Y. Wang), Michigan Math. J., Advance Publication, pages 1-28, 2024.

Effective bounds for traces of singular moduli (with M. Kenney, R. Masri and W. Tsai), Journal of Number Theory, vol 212, pages 1-17, 2020.

Numbers represented by a finite set of binary quadratic forms (with C. Donnay, K. O'Connor, K. Thompson and E. Wood), available on the arxiv here, submitted to Involve.

Bounding HSL Numbers: A Measure of the Nilpotency of Frobenius, my PhD dissertation written in 2026, supervised by Karen Smith.

On the Mysteries of Interpolation Jack Polynomials, my senior thesis written in 2020, supervised by Michael Orrison and Hadi Salmasian.

Lie Algebras Report (with X. Li), a final report from the 2019 FUSRP program, supervised by Hadi Salmasian.

Effective Bounds for Traces of Maass-Poincaré Series (with M. Kenney), a final report from the 2018 Texas A&M University REU in Number Theory, supervised by Riad Masri.